Verbal evidence is hardly given to those who are used to thinking visually. Therefore, in mathematics, visual intuition is so important. Evidence from manuals such as Euclidean Beginnings: The First 6 Books and Evidence Without Words: A Visual Thinking Textbook is given to understanding when looking at their pages. I recommend reading these books to anyone interested in proofs of other mathematical problems.
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, x . . , . , , . 2Οr , Οr.
An expression x means the same thing Ο x r x r. In other words, the square of the radius times Ο, that is, ΟrΒ². This is the desired rectangle, whose area is equal to the area of ββthe circle.
Thus, ΟrΒ² can be used to calculate the area of ββany of the existing circles.